Techniques are described for reducing the number of angles needed in structured illumination imaging of biological samples through the use of patterned flowcells, where nanowells of the patterned flowcells are arranged in, e.g., a square array, or an asymmetrical array. Accordingly, the number of images needed to resolve details of the biological samples is reduced. Techniques are also described for combining structured illumination imaging with line scanning using the patterned flowcells.